Geometry and Physics; Edinburgh, Scotland, UK

摘要：数学与物理之间一直存在着相互作用。一个重要的例子是广义相对论和黎曼几何之间的相互作用。其他重要的例子包括杨-米尔斯规范理论和主束连接之间的相互作用，希格斯玻色子和希格斯束（和希钦纤束），弦理论和代数几何。事实上，弦理论已经彻底改变了代数几何领域，特别是与曲线模空间相关的枚举代数几何，而希钦纤曲也意外地被用于证明著名的自同构形式理论和表示理论中的朗兰兹程序中的基本引理。“几何与物理：Atiyah80”会议将回顾这种互动的最新发展，并由来自世界各地的主要专家进行会谈。数学和物理的结合既持久又富有成果。现代数学的许多重要领域都是由物理学和力学的应用直接推动的，没有数学就不能准确有效地描述物理学。事实上，数学在正确地表述和建立严格的物理理论方面发挥了至关重要的作用，反过来，物理学的发展为数学提供了新的动力和意想不到的问题。所有这些相互作用激发了诺贝尔奖得主、著名物理学家尤金·维格纳（Eugene Wigner）发表了著名的声明“数学在自然科学中不可思议的有效性”。本次会议还将举办一个公共活动：希格斯玻色子：什么，为什么，如何？

Abstract:There have been interactions between mathematics and physics.One important example is the interaction between the theory of general relativity and Riemannian geometry. Other important examples include interactions between Yang-Mills gauge theory and connections on principal bundles, Higgs bosons and Higgs bundles (and Hitchin fibrations), string theory and algebraic geometry. Indeed, string theory has revolutionized the field of algebraic geometry, in particular, the enumerative algebraic geometry related to the moduli space of curves, and the Hitchin fibrations have also unexpectedly been used to prove the fundamental Lemma in the celebrated Langlands program in the theory of automorphic forms and representation theory.The conference ``Geometry and Physics: Atiyah80" will review the most recentdevelopments in such interactions with talks by leading experts from around the world.The marriage between mathematics and physics has been both long lastingand fruitful. Many important fields of modern mathematics have been directly motivated by applications in physics and mechanics,and physics can not be described accurately and effectivelywithout mathematics. Indeed, mathematics has played a crucial role in formulating properly and establishing rigorously physics theories, and in turn,developments in physics has provided mathematics with new motivations and unexpected problems. All these interactions inspired the famous physicist Eugene Wigner, a Nobel Laureate, to make the celebrated statement "The unreasonable effectiveness of mathematicsin natural sciences".This conference will also features a public event: The Higgs boson: what, why, how?